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Finding the Fourth Proportional to 10,103.90, 15,154.02 and 3,082.23

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Solution

The fourth proportional to 10,103.90, 15,154.02 and 3,082.23 is: 4,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.90 : 15,154.02 = 3,082.23 : x
  2. Step 2: Convert to fraction form
    10,103.90/15,154.02 = 3,082.23/x
  3. Step 3: Cross multiply
    10,103.90x = 15,154.02 × 3,082.23
  4. Step 4: Simplify right side
    10,103.90x = 46,708,175.06
  5. Step 5: Solve for x
    x = 46,708,175.06/10,103.90
  6. Step 6: Final answer
    x = 4,622.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.